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Character (mathematics)

About: Character (mathematics) is a research topic. Over the lifetime, 46723 publications have been published within this topic receiving 411412 citations.


Papers
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Book ChapterDOI
20 Nov 2016
TL;DR: This work first train two Convolutional Neural Networks to recognize the expression of humans and stylized characters independently and utilizes a transfer learning technique to learn the mapping from humans to characters to create a shared embedding feature space.
Abstract: We propose DeepExpr, a novel expression transfer approach from humans to multiple stylized characters. We first train two Convolutional Neural Networks to recognize the expression of humans and stylized characters independently. Then we utilize a transfer learning technique to learn the mapping from humans to characters to create a shared embedding feature space. This embedding also allows human expression-based image retrieval and character expression-based image retrieval. We use our perceptual model to retrieve character expressions corresponding to humans. We evaluate our method on a set of retrieval tasks on our collected stylized character dataset of expressions. We also show that the ranking order predicted by the proposed features is highly correlated with the ranking order provided by a facial expression expert and Mechanical Turk experiments.

106 citations

Patent
23 Mar 2005
TL;DR: In this paper, a method for allowing a player of a video game to control a threedimensional game character in a three-dimensional game world includes the steps of acquiring video image data of a player in a game, analyzing the acquired image data to identify the location or movement of a portion of the player's body; and using the identified location of the part of the body to control behavior of a game character.
Abstract: A method for allowing a player of a video game to control a threedimensional game character in a three-dimensional game world includes the steps of acquiring video image data of a player of a game, analyzing the acquired video image data to identify the location or movement of a portion of the player's body; and using the identified location of the portion of the player's body to control behavior of a game character.

106 citations

Journal ArticleDOI
TL;DR: In this paper, Demazure constructed the Bott-Samelson scheme, which gives desingularizations of the Schubert varieties in the flag manifold G/B. He proved that this construction makes it easy to calculate the Chow ring of G/b and when k has characteristic zero he also used it to prove the following
Abstract: In [3] M. Demazure constructed the so-called Bott-Samelson scheme (see also [6]) which gives desingularizations of the Schubert varieties in the flag manifold G/B. Here G denotes a semi-simple algebraic group over a field k and B is a Borel subgroup. He proved that this construction makes it easy to calculate the Chow ring of G/B and when k has characteristic zero he also used it to prove the following

106 citations

Journal ArticleDOI
TL;DR: In this article, Hansen's generalized method of moments techniques are employed to estimate a 3-equation simultaneous model designed to capture the time dependent character of these interrelationships and find substantial differences between these estimates and those from our simultaneous model.

106 citations


Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20242
20233,365
20227,818
20211,037
20201,521
20191,881