Shape Modification: Shearing and Centroid

This lecture by the instructor from the Geometric Computing Laboratory at EPFL delves into the concept of shape modification, focusing on shearing geometric objects and understanding the centroid's behavior. Starting with the challenge of making an object stand, the lecture explores the fundamentals of geometric objects and shape modification. Through examples and explanations, the lecture demonstrates how shearing affects the centroid of a triangle and a mesh, emphasizing the preservation of area under shearing. By the end, students are presented with a geometry riddle to test their understanding of the concepts discussed.