--[[-- Cube to LatLong Fuse Converts a single face of a cube map to a latlong (equirectangular) panorama image. Slow. But useful to fix skydomes and matte paintings. Formulas based on: http://mathworld.wolfram.com/GnomonicProjection.html The output image will always have a 2:1 aspect ratio, so you can only define its height. The suggested output height is twice the cube map's height. The source image can have any resolution and doesn't even have to be square but it will be treated as such. Internally, the input image is always resized to the required dimensions before it's distorted into the equirectangular map. This results in smoother results, especially when the output is smaller than the input map. Strictly speaking, this isn't correct since the filtering would have to adapt to a pixel's latitude (y-coordinate). However, this would require custom filtering code in Lua which would be very very slow. Note: Multithreading was tested as well but it was slower than the current rendering loop, maybe because calling :SamplePixelD on the same image from parallel threads wasn't possible? ---------------------------------------------------------------------- Copyright (c) 2011, Stefan Ihringer Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ---------------------------------------------------------------------- --]]-- version = "version 1.0, 2011-04-28" Cube_Icon = { Width = 160, Height = 120, Bitmap = [[ 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 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00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000001 00000001 00000001 00000001 00000002 00000003 00000004 00000005 00000006 00000007 00000008 00000009 0000000a 0000000b 0000000b 0000000c 0000000c 0000000c 0000000b 0000000a 00000009 00000008 00000007 00000006 00000005 00000004 00000003 00000002 00000001 00000001 00000001 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 ]] } FuRegisterClass("CubeToLatLong", CT_Tool, { REGS_Name = "Cube To LatLong", REGS_Category = "Warp", REGS_OpIconString = "C2LL", REGS_OpDescription = "Transforms a face of a cube map to an equirectangular image or latlong map.", REGS_Company = "Stefan Ihringer", REGS_URL = "http://www.bildfehler.de", REG_OpNoMask = true, REG_NoCommonCtrls = true, REG_NoPreCalcProcess = true, -- let Process() handle the PreCalcProcess() stuff as well REG_Fuse_TilePic = Cube_Icon, REG_Fuse_NoEdit = true, REG_Fuse_NoReload = true, }) function Create() InDirection = self:AddInput("Direction of Input Cube Map", "Direction", { LINKID_DataType = "FuID", INPID_InputControl = "ComboIDControl", { CCS_AddString = "+X: Right", CCID_AddID = "Right", }, { CCS_AddString = "-X: Left", CCID_AddID = "Left", }, { CCS_AddString = "+Y: Up", CCID_AddID = "Up", }, { CCS_AddString = "-Y: Down", CCID_AddID = "Down", }, { CCS_AddString = "+Z: Back", CCID_AddID = "Back", }, { CCS_AddString = "-Z: Front", CCID_AddID = "Front", }, { CCS_AddString = "Custom", CCID_AddID = "Custom", }, CC_LabelPosition = "Vertical", INPID_DefaultID = "Front", INP_DoNotifyChanged = true, -- We want to hear about changes on this control }) -- custom latitude and longitude InLatitude = self:AddInput("Custom Latitude (X Axis Rotation)", "Latitude", { LINKID_DataType = "Number", INPID_InputControl = "SliderControl", INP_MinAllowed = -90.0, INP_MaxAllowed = 90.0, INP_Default = 0.0, IC_Visible = false, }) InLongitude = self:AddInput("Custom Longitude (Y Axis Rotation)", "Longitude", { LINKID_DataType = "Number", INPID_InputControl = "SliderControl", INP_MinAllowed = -180.0, INP_MaxAllowed = 180.0, INP_Default = 0.0, IC_Visible = false, }) InHeight = self:AddInput("Height", "Height", { LINKID_DataType = "Number", INPID_InputControl = "SliderControl", INP_MinAllowed = 1, INP_MaxScale = 4096, INP_MaxAllowed = 16382, INP_Integer = true, INP_Default = 1024, }) InDepth = self:AddInput("Depth", "Depth", { LINKID_DataType = "Number", INPID_InputControl = "MultiButtonControl", INP_Integer = true, INP_Default = 0.0, MBTNC_StretchToFit = true, {MBTNC_AddButton = "Keep", }, {MBTNC_AddButton = "8bit int", }, {MBTNC_AddButton = "16bit int", }, {MBTNC_AddButton = "16bit float",}, {MBTNC_AddButton = "32bit float",}, }) InFilter = self:AddInput("Filter Method", "FilterMethod", { LINKID_DataType = "Number", INPID_InputControl = "ComboControl", INP_Default = 2.0, { CCS_AddString = "Nearest Neighbor", }, { CCS_AddString = "Box", }, { CCS_AddString = "Linear", }, { CCS_AddString = "Quadratic", }, { CCS_AddString = "Cubic", }, { CCS_AddString = "Catmull-Rom", }, { CCS_AddString = "Gaussian", }, { CCS_AddString = "Mitchell", }, { CCS_AddString = "Lanczos", }, { CCS_AddString = "Sinc", }, { CCS_AddString = "Bessel", }, }) InHiQOnly = self:AddInput("Only Use Filter in HiQ", "HiQOnly", { LINKID_DataType = "Number", INPID_InputControl = "CheckboxControl", INP_Default = 1, }) InLabel = self:AddInput("CubeToLatLong "..version, "version", { LINKID_DataType = "Text", INPID_InputControl = "LabelControl", INP_External = false, INP_Passive = true, }) -- image inputs InImage = self:AddInput("Input", "Input", { LINKID_DataType = "Image", LINK_Main = 1, }) -- outputs OutImage = self:AddOutput("Output", "Output", { LINKID_DataType = "Image", LINK_Main = 1, }) end function NotifyChanged(inp, param, time) if param ~= nil then if inp == InDirection then -- show/hide custom angle controls if param.Value == "Custom" then InLatitude:SetAttrs({IC_Visible = true}) InLongitude:SetAttrs({IC_Visible = true}) else InLatitude:SetAttrs({IC_Visible = false}) InLongitude:SetAttrs({IC_Visible = false}) end end end end -- Inverse transformation: converts cube map coordinates to equirect pixel coordinates. -- Used to calculate the rectangular processing area: -- x and y are coordinates of the cube map ranging from -1 to +1 (not pixel coordinates) -- cLambda, cPhi are the center angles of the projection function cubeCoordsToEquirectPixels(x, y, cLambda, cPhi, ref_img) local cos_cPhi = math.cos(cPhi) local sin_cPhi = math.sin(cPhi) local p = math.sqrt(x*x + y*y) local c = math.atan(p) local cosC = math.cos(c) local sinC = math.sin(c) -- equirect angles: local phi = math.asin(cosC * sin_cPhi + (y * sinC * cos_cPhi / p)) local lambda = cLambda + math.atan2(x * sinC, p * cos_cPhi * cosC - y * sin_cPhi * sinC) -- angles to pixels: local x2 = math.floor((lambda / (2 * math.pi) + 0.5) * ref_img.Width) local y2 = math.floor((phi / math.pi + 0.5) * ref_img.Height) return x2, y2 end -- Calculates the rectangular bounding box of the area that will be covered by cube map -- after it has been distorted to an equirectangular panorama. This is easy if the latitude -- is zero, but gets a bit more complicated if it is not. The solution is to calculate -- the transformed positions of each corner of the cube map as well as a point in the middle -- of the top and bottom edges. Then just take clever maximum and minimum extends. -- lambda and phi are the viewing direction of the cube map tile. -- ! Result may exceed image borders in X direction! (wrapping will be taken care of later) function getBoundingBox(lambda, phi, ref_img) -- 4 corners: local x1, y1 = cubeCoordsToEquirectPixels(-1, -1, lambda, phi, ref_img) local x2, y2 = cubeCoordsToEquirectPixels(-1, 1, lambda, phi, ref_img) local x3, y3 = cubeCoordsToEquirectPixels( 1, -1, lambda, phi, ref_img) local x4, y4 = cubeCoordsToEquirectPixels( 1, 1, lambda, phi, ref_img) -- top and bottom edges: local x5, y5 = cubeCoordsToEquirectPixels( 0, 1, lambda, phi, ref_img) local x6, y6 = cubeCoordsToEquirectPixels( 0, -1, lambda, phi, ref_img) local xmax, ymax, xmin, ymin = 0, 0, 0, 0 if phi >= -math.pi/4 and phi <= math.pi/4 then -- latitude between -45 and +45 degrees: xmin = math.min(x1, x2) xmax = math.max(x3, x4) ymin = y6 ymax = y5 else xmin = 0 xmax = ref_img.Width if phi > math.pi/4 then -- latitude larger than +45 degrees: ymin = y1 ymax = ref_img.Height - 1 else -- latitude smaller than -45 degrees: ymin = 0 ymax = y2 end end return xmin, math.max(0, ymin), xmax, math.min(ymax, ref_img.Height - 1) end -- Main Rendering Loop: transforms a cube map tile to an equirectangular panorama. -- Dst: Target image (equirectangular map) -- Src: Source image (cube map tile) -- P1 and P2: pixel coordinates of bounding box to be processed -- cLambda, cPhi: center angles of projection (viewing direction) -- hiq: true if high-quality pixel sampling should be used function renderEquirect(Dst, Src, P1, P2, cLambda, cPhi, hiq) -- faster calls: local sin = math.sin local cos = math.cos -- precalculate sin and cos of viewing direction local cos_cPhi = cos(cPhi) local sin_cPhi = sin(cPhi) -- print("rendering from ("..P1.X.."/"..P1.Y..") to ("..(P2.X-1).."/"..(P2.Y-1)..")") for y = math.max(0, P1.Y), math.min(Dst.Height - 1, P2.Y) do if self.Status ~= "OK" then break end self:SetProgress((y - P1.Y) / (P2.Y - P1.Y)) for x = P1.X, P2.X - 1 do -- convert current pixel position to angles local lambda = ((x / Dst.Width) - 0.5) * 2 * math.pi local phi = ((y / Dst.Height) - 0.5) * math.pi -- angular distance from center of projection to point on cube map local cosC = sin_cPhi * sin(phi) + cos_cPhi * cos(phi) * cos(lambda - cLambda) -- coordinates of target pixel in cube map. They are initially scaled so that -- 0 is at the center of the image and the borders are +1 and -1 in each direction. local targetX = cos(phi) * sin(lambda - cLambda) / cosC local targetY = (cos_cPhi * sin(phi) - sin_cPhi * cos(phi) * cos(lambda - cLambda)) / cosC local p = Pixel({R = 0, G = 0, B = 0, A = 0}) -- only sample pixels inside cube map if targetY < 1 and targetY >= -1 and targetX < 1 and targetX >= -1 then -- convert to Fusion pixel coordinates targetX = (targetX/2 + 0.5) * Src.Width targetY = (targetY/2 + 0.5) * Src.Height if hiq then Src:SamplePixelD(targetX, targetY, p) else targetX = math.max(0, math.min(math.floor(targetX), Src.Width - 1)) targetY = math.max(0, math.min(math.floor(targetY), Src.Height - 1)) Src:GetPixel(targetX, targetY, p) end -- For angles on the back of the globe, x might be outside the valid range. -- This will wrap the coordinates properly. x = x % Dst.Width y = math.max(0, math.min(y, Dst.Height - 1)) Dst:SetPixel(x, y, p) end end end end function Process(req) local img = InImage:GetValue(req) local depth = InDepth:GetValue(req).Value local direction = InDirection:GetValue(req).Value local customlat = InLatitude:GetValue(req).Value local customlong = InLongitude:GetValue(req).Value local realheight = InHeight:GetValue(req).Value local realwidth = realheight * 2 local width = math.max(1, math.floor(realwidth / img.ProxyScale)) local height = math.max(1, math.floor(realheight / img.ProxyScale)) local filter = InFilter:GetValue(req).Value local dofilter = (not req:IsQuick()) or (InHiQOnly:GetValue(req).Value < 0.5) local filters = {"Nearest", "Box", "BiLinear", "BiCubic", "BSpline", "CatmulRom", "Gaussian", "Mitchell", "Lanczos", "Sinc", "Bessel"} local newAttrs = {IMG_Like = img, IMG_CopyChannels = false, IMG_Width = width, IMAT_OriginalWidth = realwidth, IMG_Height = height, IMAT_OriginalHeight = realheight, IMG_YScale = 1, IMG_XScale = 1, IMG_Depth = (depth == 0) and img.Depth or (depth + 4), IMG_NoData = req:IsPreCalc(), } local result = Image(newAttrs) -- do the processing only if not a precalc request if not req:IsPreCalc() then result:Fill(Pixel({R = 0, G = 0, B = 0, A = 0})) self:SetProgress(0) -- determine central angles (latitude and longitude angle of view) local centerLambda, centerPhi = 0, 0 if direction == "Right" then centerLambda = math.pi / 2 elseif direction == "Left" then centerLambda = -math.pi / 2 elseif direction == "Back" then centerLambda = math.pi elseif direction == "Up" then centerPhi = math.pi / 2 elseif direction == "Down" then centerPhi = -math.pi / 2 elseif direction == "Custom" then centerPhi = customlat / 180 * math.pi centerLambda = customlong / 180 * math.pi end -- Determine smallest rectangular area of the panorama we'll have to process -- to completely cover the transformed cube map tile. This way, we can speed up -- rendering as much as possible by not wasting time on blank pixels. local x1, y1, x2, y2 = getBoundingBox(centerLambda, centerPhi, result) -- print("Bounding Box: ",x1,y1,"/",x2,y2) -- scale input image to roughly the size we need using the selected filter. -- This results in smoother images especially when the equirectangular map is going -- to be smaller than 4 x the cube map width, but it's not quite correct since it -- assumes a linear scaling across the whole cube map tile while in reality, it's -- distorted heavily near the poles. local imgFilter if dofilter and filter > 1 then width = math.abs(x2 - x1) height = math.abs(y2 - y1) imgFilter = Image({IMG_Like = img, IMG_Width = width, IMG_Height = height }) img:Resize(imgFilter, { RSZ_Filter = filters[filter+1], RSZ_Window = "Hanning", RSZ_Width = width, RSZ_Height = height, }) -- print("scaled to "..width.."x"..height.." using "..filters[filter+1]) else imgFilter = img end -- Finally do the rendering: renderEquirect(result, imgFilter, Point(x1,y1), Point(x2,y2), centerLambda, centerPhi, dofilter) end OutImage:Set(req, result) end