The Kinematics of Cutting Solid Objects: Technical Report 541, January 1991

Ernest Davis

ISBN 10: 1332148271 / ISBN 13: 9781332148271

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book presents two alternative theories for describing how one solid object can cut another. The first theory views an object as gradually changing its shape until it is split, at which time the original object ceases to exist and two (or more) new objects come into existence. The second focusses instead on chunks of material which are part of the overall object. A chunk persists with constant shape until some piece of it is cut away, when the chunk ceases to exist. The author proves that the two theories are equivalent under ordinary circumstances, and shows that they are sufficient to support some simple commonsense inferences and algorithms. The author acknowledges that there are limitations to their approach, but the theories yield insights that are as close as one can come to the intuition of object behavior without drawing arbitrary lines. The book's analysis of the kinematics of cutting solid objects should appeal to researchers in artificial intelligence, knowledge representation, and computer graphics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781332148271_0

Bibliographic Details

• Title: The Kinematics of Cutting Solid Objects: Technical Report 541, January 1991
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1332148271
• ISBN 13: 9781332148271
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Logic

About this title

Synopsis

Excerpt from The Kinematics of Cutting Solid Objects: Technical Report 541, January 1991

To go beyond this restriction would require a theory of small distortions; that is, bending. Such a theory will, of course, ultimately be necessary, but appears to be difficult. It is hard to characterize bending and its limits without using the language of partial differential equations, which is unintuitive and does not (at least easily) support qualitative reasoning.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.