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Linear Image Transforms
7-1
7
This chapter describes the linear image transforms implemented in the
library: Fast Fourier Transform (FFT) and Discrete Cosine Transform
(DCT). Table 7-1 lists the functions performing linear image transform
operations.
Table 7-1 Linear Image Transform Functions
Group Function Name Description
Fast Fourier
Transform (FFT)
iplRealFft2D
Computes the forward or inverse 2D
FFT of an image.
iplCcsFft2D
Computes the forward or inverse 2D
FFT of an image in a complex-
conjugate format.
iplMpyRCPack2D
Multiplies data in the RCPack format.
Discrete Cosine
Transform (DCT)
iplDCT2D
Computes the forward or inverse 2D
DCT of an image.
Fast Fourier Transform
This section describes the functions that implement the forward and inverse
Fast Fourier Transform (FFT) on the 2-dimensional (2D) image data.
Real-Complex Packed (RCPack2D) Format
The FFT of any real 2D signal, in particular, the FFT of an image is
conjugate-symmetric. Therefore, it can be fully specified by storing only
half the output data. A special format called
RCPack2D is provided for this
purpose.
- Image Processing 1
- How to Use This Online Manual 2
- Image Processing Library 3
- Reference Manual 3
- Chapter3 ErrorHandling 6
- Chapter 6 Image Filtering 9
- Chapter7LinearImageTransforms 10
- Chapter9ColorSpaceConversion 10
- Contents 11
- Examples 17
- Overview 19
- ManualOrganization 20
- Function Descriptions 22
- Audience for This Manual 22
- NotationalConventions 23
- Naming Conventions 24
- Function Name Conventions 24
- X-Y Argument Order Convention 25
- Image Architecture 27
- Color Models 27
- Data Types and Palettes 28
- Table 2-1 Data Ordering 29
- Coordinate Systems 30
- Image Regions of Interest 30
- SetROI() 31
- Input image Output image 32
- Alpha (Opacity) Channel 33
- Scanline Alignment 33
- Image Dimensions 33
- Execution Architecture 34
- Image Tiling 34
- Tile Size 35
- Call-backs 35
- ROI and Tiling 36
- Error Handling 37
- Error-handling Functions 38
- GetErrStatus 39
- SetErrStatus 39
- GetErrMode 40
- SetErrMode 40
- ErrorStr 41
- RedirectError 42
- NullDevReport 43
- StdErrReport 43
- GuiBoxReport 43
- ErrorMacros 45
- Status Codes 46
- Channel1U 47
- Application Notes 48
- Error Handling Example 49
- Adding Your Own Error Handler 51
- ImageCreationandAccess 55
- Functions (continued) 56
- Image Header and Attributes 58
- OSD05559 60
- IplImage Structure Definition 61
- IplTileInfo Structure 62
- CreateImageHeader 63
- DeallocateImage 69
- CloneImage 69
- Deallocate 70
- CheckImageHeader 71
- CreateImageJaehne 72
- Setting Regions of Interest 74
- CreateROI 75
- DeleteROI 75
- SetBorderMode 77
- CreateTileInfo 79
- SetTileInfo 80
- DeleteTileInfo 80
- Memory Allocation Functions 81
- Set, SetFP 85
- Image Creation and Access 87
- Exchange 89
- Example 4-6 Converting Images 91
- PutPixel 92
- GetPixel 92
- NoiseImage 96
- NoiseUniformInit 97
- NoiseUniformInitFp 97
- NoiseGaussianInit 98
- NoiseGaussianInitFp 98
- TranslateDIB 101
- ConvertFromDIB 104
- ConvertFromDIBSep 107
- ConvertToDIB 108
- ConvertToDIBSep 109
- Discussion 110
- Image Arithmetic and Logical 111
- Operations 111
- AddS, AddSFP 113
- SubtractS, SubtractSFP 114
- MultiplyS, MultiplySFP 114
- MultiplySScale 115
- Dyadic Arithmetic Operations 117
- Subtract 118
- Multiply 118
- MultiplyScale 119
- Monadic Logical Operations 120
- Dyadic Logical Operations 124
- AlphaComposite 128
- AlphaCompositeC 128
- IPL_COMPOSITE_OVER 133
- PreMultiplyAlpha 134
- Image Filtering 135
- Linear Filters 136
- 2D Convolution 137
- CreateConvKernelFP 139
- GetConvKernelFP 140
- DeleteConvKernel 142
- DeleteConvKernelFP 142
- Convolve2D 142
- Convolve2DFP 142
- FixedFilter 146
- Return Value 148
- MedianFilter 149
- ColorMedianFilter 151
- MaxFilter 152
- MinFilter 153
- Linear Image Transforms 155
- RealFft2D 158
- CcsFft2D 161
- MpyRCPack2D 162
- Morphological Operations 167
- See Also 172
- Color Space Conversion 175
- ReduceBits 177
- Output image 180
- BitonalToGray 181
- ColorToGray 182
- GrayToColor 183
- Conversion of Color Models 184
- RGB2YCrCb 190
- YCrCb2RGB 190
- Using Color-Twist Matrices 192
- CreateColorTwist 193
- SetColorTwist 194
- ApplyColorTwist 195
- DeleteColorTwist 196
- ColorTwistFP 197
- Functions 199
- Threshold 200
- The IplLUT Structure 203
- ConstrastStretch 205
- (continued) 206
- ComputeHisto 207
- HistoEqualize 208
- Comparing Images 210
- EqualFPEps 214
- GreaterS 215
- GreaterSFP 216
- EqualSFP 220
- EqualSFPEps 221
- Geometric Transforms 223
- Changing the Image Size 225
- Decimate 227
- DecimateBlur 228
- GetRotateShift 233
- WarpAffine 239
- GetAffineBound 240
- GetAffineQuad 240
- GetAffineTransform 241
- WarpBilinear 242
- WarpBilinearQ 242
- GetBilinearBound 244
- GetBilinearQuad 244
- GetBilinearTransform 245
- WarpPerspectiveQ 246
- WarpPerspective 246
- GetPerspectiveBound 248
- GetPerspectiveQuad 248
- GetPerspectiveTransform 249
- Arbitrary Transforms 250
- Image Norms 254
- Image Moments 257
- GetSpatialMoment 258
- GetCentralMoment 259
- GetNormalizedSpatialMoment 259
- GetNormalizedCentralMoment 260
- SpatialMoment 261
- CentralMoment 261
- NormalizedSpatialMoment 262
- NormalizedCentralMoment 263
- Cross-Correlation 264
- NormCrossCorr 265
- MinMaxFP 266
- User Defined Functions 267
- UserFunc 268
- UserFuncFP 269
- UserFuncPixel 270
- UserProcess 271
- UserProcessFP 273
- UserProcessPixel 274
- LibraryVersion 277
- GetLibVersion 277
- ReturnValue 277
- Supported Image Attributes 279
- Input and output images 282
- Compare functions 284
- Processing 285
- = IPL_INTER_NN) 287
- = IPL_INTER_LINEAR) 287
- = IPL_INTER_CUBIC) 287
- = IPL_INTER_SUPER) 287
- Mathematical Notation 289
- Linear Interpolation 289
- IPL_INTER_LINEAR 290
- Cubic Interpolation 291
- Super-Sampling 292
- Bibliography 295
- Biblio-2 296
- Glossary 297
- Glossary-2 298
- Glossary-3 299
- ColorToGray in Chapter 9 299
- Glossary-4 300
- Glossary-5 301
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