scholarly journals Qualitative Descriptions of Image in the Gaussian Scale-Space

2005 ◽  
Vol 11 (2) ◽  
pp. 157-166
Author(s):  
Tomoya SAKAI ◽  
Atsushi IMIYA
Keyword(s):  
Scale Space ◽  
Gaussian Scale Space

scholarly journals FEATURES OF DERIVATIVE CONTINUITY IN SHAPE

1999 ◽  
Vol 13 (08) ◽  
pp. 1181-1199
Author(s):  
PHILIP F. HENSHAW
Keyword(s):  
Time Series ◽  
Image Recognition ◽  
Scale Space ◽  
Complex Processes ◽  
Behavioral Dynamics ◽  
Higher Derivative ◽  
Smoothing Kernel ◽  
Key Features ◽  
Invariant Relationship ◽  
Gaussian Scale Space

Derivative continuity is a distributed invariant relationship between parts of flowing shapes. The original techniques presented here were developed for making the behavioral dynamics of complex processes more recognizable, but are equally applicable to assisting in the recognition of shapes in images. Regularizing a sequence using a constraint of derivative continuity is equivalent to using a bimodal smoothing kernel, producing a distinct bias for reducing variation on higher derivative levels, sharply defining shape with minimal suppression of shape. To help determine where reconstructing shapes in this way is valid, a test was developed to help distinguish combinations of noise and smooth flows from random walks. This helps distinguish between illusory and genuine, data shapes but also exposes a flair in using this and other measures of scaling behavior for diagnostic purposes. Gaussian scale space techniques in use for some time in image recognition, for identifying reliable landmarks in the shapes of outlines, are demonstrated for use in identifying key features of shape in time series.

scholarly journals HEp-2 cell classification: The role of Gaussian Scale Space Theory as a pre-processing approach

2016 ◽  
Vol 82 ◽  
pp. 36-43 ◽  
Author(s):  
Xianbiao Qi ◽  
Guoying Zhao ◽  
Jie Chen ◽  
Matti Pietikäinen
Keyword(s):  
Scale Space ◽  
Space Theory ◽  
Cell Classification ◽  
Processing Approach ◽  
Gaussian Scale Space

Spatial Derivatives and the Propagation of Noise in Gaussian Scale Space

1993 ◽  
Vol 4 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Johan Blom ◽  
Bart M.ter Haar Romeny ◽  
Arjan Bel ◽  
Jan J. Koenderink
Keyword(s):  
Scale Space ◽  
Spatial Derivatives ◽  
Gaussian Scale Space
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