Similarity criteria - PowerPoint PPT Presentation

Introduction 1. Similarity 1.1. Mechanism and mathematical description

Similarity and modeling Prof. Christo Boyadjiev. Contents. Introduction 1. Similarity 1.1. Mechanism and mathematical description 1.2. Generalized variables 1.3. Qualitative analysis 1.4. Generalized individual case (process) and similarity 1.5. Similarity criteria

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Shape Representation and Similarity

Stretching. Stretching. Shape Representation and Similarity. Occlusion. Articulation. Shape similarities should be preserved under occlusions and articulation. Two equal stretching along contours can affect shape similarity differently.

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BASIC PROPORTIONALITY THEOREM

BASIC PROPORTIONALITY THEOREM. IF A LINE IS DRAWN II TO ONE SIDE OF A TRI. TO INTERSECT THE OTHER TWO SIDES IN DISTINCT POINTS, THEN THE OTHER TWO SIDES ARE DIVIDED IN THE SAME RATIO. CONVERSE OF BASIC PROPORTIONALITY THEOREM.

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