As better Numerical Analysis has higher accuracy in discrete image analysis, researchers in image processing are developing algorithm in continuous mathematics and implementing in discrete domain like in digital computer.
Partial Differential Equations are most recently being used in image analysis and the process as:
Curve evolution studies about the move of the curve in plan or surface. In image segmentation, normal move of the each points in the curve is subject of interest than tangential move.
The calculus of variation studies about the extremal of the curve, During the image segmentation, minimal length curve is of interest and is the area of calculus of variations.
- Image enhancement and deblurrng
- Edge detection
- Image restoration
- Image segmentation
- Image inpainting
- Motion analysis
Curve evolution is the tool which is used in image processing for image inpainting, image segmentation with calculus of variations, Heat equation which is one of the partial differential equations is used for image deblurring.
Curve evolution studies about the move of the curve in plan or surface. In image segmentation, normal move of the each points in the curve is subject of interest than tangential move.
The calculus of variation studies about the extremal of the curve, During the image segmentation, minimal length curve is of interest and is the area of calculus of variations.
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