scholarly journals Random ambiguous point of random k(ω)-set–contractive operator

2007 ◽  
Vol 328 (1) ◽  
pp. 2-6 ◽  
Author(s):  
Chuan-xi Zhu ◽  
Zong-ben Xu
Keyword(s):  
Contractive Operator ◽  
Ambiguous Point

SOLVING THE INVERSE PROBLEM FOR FUNCTION/IMAGE APPROXIMATION USING ITERATED FUNCTION SYSTEMS I: THEORETICAL BASIS

Fractals ◽  
1994 ◽  
Vol 02 (03) ◽  
pp. 325-334 ◽  
Author(s):  
BRUNO FORTE ◽  
EDWARD R. VRSCAY
Keyword(s):  
Inverse Problem ◽  
Function Approximation ◽  
Image Representation ◽  
Iterated Function Systems ◽  
Rigorous Solution ◽  
Compact Metric Space ◽  
Image Approximation ◽  
Iterated Function ◽  
Contractive Operator ◽  
Contraction Maps

We are concerned with function approximation and image representation using Iterated Function Systems (IFS) over ℒp (X, µ): An N-map IFS with grey level maps (IFSM), to be denoted as (w, Φ), is a set w of N contraction maps wi: X → X over a compact metric space (X, d) (the "base space") with an associated set Φ of maps ϕi: R → R. Associated with each IFSM is a contractive operator T with fixed point [Formula: see text]. We provide a rigorous solution to the following inverse problem: Given a target υ ∈ ℒp(X, µ) and an ∊ > 0, find an IFSM whose attractor satisfies [Formula: see text].

scholarly journals Inverting the Facing-the-Viewer Bias for Biological Motion Stimuli

i-Perception ◽  
2018 ◽  
Vol 9 (1) ◽  
pp. 204166951775017
Author(s):  
Séamas Weech ◽  
Nikolaus F. Troje
Keyword(s):  
Biological Motion ◽  
Social Relevance ◽  
Shape Information ◽  
Low Level ◽  
Stick Figure ◽  
Visual Processes ◽  
The Social ◽  
Point Light ◽  
Ambiguous Point

Depth-ambiguous point-light walkers are most frequently seen as facing-the-viewer (FTV). It has been argued that the FTV bias depends on recognising the stimulus as a person. Accordingly, reducing the social relevance of biological motion by presenting stimuli upside down has been shown to reduce FTV bias. Here, we replicated the experiment that reported this finding and added stick figure walkers to the task in order to assess the effect of explicit shape information on facing bias for inverted figures. We measured the FTV bias for upright and inverted stick figure walkers and point-light walkers presented in different azimuth orientations. Inversion of the stimuli did not reduce facing direction judgements to chance levels. In fact, we observed a significant facing away bias in the inverted stimulus conditions. In addition, we found no difference in the pattern of data between stick figure and point-light walkers. Although the results are broadly consistent with previous findings, we do not conclude that inverting biological motion simply negates the FTV bias; rather, inversion causes stimuli to be seen facing away from the viewer more often than not. The results support the interpretation that primarily low-level visual processes are responsible for the biases produced by both upright and inverted stimuli.

Bistability and Biasing Effects in the Perception of Ambiguous Point-Light Walkers

Perception ◽  
10.1068/p5004 ◽  
2004 ◽  
Vol 33 (5) ◽  
pp. 547-560 ◽  
Author(s):  
Jan Vanrie ◽  
Mathias Dekeyser ◽  
Karl Verfaillie
Keyword(s):  
Biasing Effects ◽  
Point Light ◽  
Ambiguous Point

scholarly journals A contractive operator solution of an airfoil design inverse problem

PAMM ◽  
2007 ◽  
Vol 7 (1) ◽  
pp. 2100023-2100024 ◽  
Author(s):  
Jan SÌŒimák ◽  
Jaroslav Pelant
Keyword(s):  
Inverse Problem ◽  
Operator Solution ◽  
Contractive Operator

The Uncertainty Elimination in Discrete Topology Optimization of Compliant Mechanisms

2013 ◽  
Author(s):  
Hong Zhou ◽  
Satya Raviteja Kandala
Keyword(s):  
Topology Optimization ◽  
Compliant Mechanisms ◽  
Compliant Mechanism ◽  
Optimization Process ◽  
Design Domain ◽  
Discrete Topology ◽  
Optimization Strategy ◽  
Hybrid Discretization ◽  
Ambiguous Point

Topology uncertainty leads to different topology solutions and makes topology optimization ambiguous. Point connection and grey cell might cause topology uncertainty. They are both eradicated when hybrid discretization model is used for discrete topology optimization. A common topology uncertainty in the current discrete topology optimization stems from mesh dependence. The topology solution of an optimized compliant mechanism might be uncertain when its design domain is discretized differently. To eliminate topology uncertainty from mesh dependence, the genus based topology optimization strategy is introduced in this paper. The topology of a compliant mechanism is defined by its genus which is the number of holes in the compliant mechanism. With this strategy, the genus of an optimized compliant mechanism is actively controlled during its topology optimization process. There is no topology uncertainty when this strategy is incorporated into discrete topology optimization. The introduced topology optimization strategy is demonstrated by examples with different degrees of genus.

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