數(shù)字圖像處理mathematicalmorphology-文庫吧
2025-04-25 05:47 本頁面
【正文】 ???????????11111111111111111111111111111111111)( BAA ?膨脹（ dilate） A被 B膨脹表示為 BA ?： cc BABA )]([ ??? ?Ac表示 A 的補集。 膨脹還可以用 D(A,B)， DILATE(A,B)表示 A B A?B 利用圓盤對矩形膨脹，尖角被磨圓 性質 對前景的外部作了平滑濾波 滿足交換律 ABBA ???}:{ BbbABA ?????膨脹的等效表達式 }:{ AaaBBA ?????膨脹 A B A?B 離散情況下的明克夫斯基和（膨脹） 小結 膨脹可以實現(xiàn)圖像縫隙的連接； 腐蝕可以去除小顆粒噪聲或毛刺； 多種組合，實現(xiàn)開、閉、擊中、擊不中； 典型的非線性濾波，濾波效果可交互控制； 模板設計與算法設計 膨脹、腐蝕的組合濾波效果 應用 ?邊界提取 ?骨架抽取 ?極限腐蝕 ?Tophat變換 ?流域變換 ?灰度形態(tài)變換 – Basic Morphology Operators ? Dilation, Erosion, Opening, Closing – Basic Morphology Algorithms ? Boundary extraction ? Region filling ? HitorMiss transformation ? Thinning ? Thickening ? Pruning Applications –Filtering –Segmentation –Coding amp。 Compression –Object detection –Computer vision Question What is Mathematical Morphology ? A Commercial Answer – Mathematical Morphology is FAST !! – Mathematical Morphology is CHEAP !! Physical Signal analysis techniques based on set theory aiming at the study of relations between physical and structural properties Signal Processing Non linear signal processing techniques based on minimum and maximum operations Engineering Algorithm and software/hardware tools for developing signal processing applications An (imprecise) Mathematical Answer A mathematical tool for investigating geometric structure in binary and grayscale images. Shape Processing and Analysis – Visual perception requires transformation of images so as to make explicit particular shape information. – Goal: Distinguish meaningful shape information from irrelevant one. – The vast majority of shape processing and analysis techniques are based on designing a shape operator which satisfies desirabl
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