2013
DOI: 10.1142/s0219467813500228
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A Scale-Space Toggle Operator for Image Transformations

Abstract: The analysis of different representation levels has been largely used in several image analysis tasks to handle the multiscale nature of image data, allowing the extraction of specific features that become explicit at each scale. In this work, we explore the scale-space properties of a self-dual toggle operator defined on a scaled morphological framework. These properties conduce to a well-controlled image simplification where its maxima and minima interact at the same time during pixels' transformation, in co… Show more

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Cited by 9 publications
(11 citation statements)
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“…Mathematical morphology is an important theory in image processing and pattern recognition (Serra, 1988;Shavemaker et al, 2000;Soille, 2003;Dorini & Leite, 2007). Morphological operators have been widely used in different applications.…”
Section: Mathematical Morphologymentioning
confidence: 99%
“…Mathematical morphology is an important theory in image processing and pattern recognition (Serra, 1988;Shavemaker et al, 2000;Soille, 2003;Dorini & Leite, 2007). Morphological operators have been widely used in different applications.…”
Section: Mathematical Morphologymentioning
confidence: 99%
“…In the following, we define a toggle operator with scalespace properties, named Self-dual Multiscale Morphological Toggle (SMMT) [14]. We use as primitives iterated versions of the scale dependent dilation and erosion, defined above.…”
Section: A Scale-space Toggle Operator For Image Simplificationmentioning
confidence: 99%
“…For varying scale, the SMMT obeys the necessary conditions to constitute a scale-space operator [14]. The monotonicity property holds when using as features image extrema, in contrast to other approaches that require the use of image maxima and minima separately [13]).…”
Section: Definition Ii3 (Self-dual Multiscale Morphological Toggle mentioning
confidence: 99%
“…Extracting and using these mineral features would be very useful for constructing the effective measure to quantify the clarity of mineral image. Morphological theory has been well used for feature extraction (Bai, ; Bai and Zhou, ; Bai et al, ; Dorini and Leite, ; Mukhopadhyay and Chanda, ; Serra, ; Soille, ). Mineral image features include mineral details and regions.…”
Section: Introductionmentioning
confidence: 99%
“…Mineral image features include mineral details and regions. In addition, sequentially combined morphological toggle (Bai and Zhou, ; Dorini and Leite, ; Serra, ) and top‐hat (Bai and Zhou, ; Bai et al, ; Dorini and Leite, ) based contrast operator could be well used to extract both the image details and regions (Bai, ), which may be well used to construct the effective clarity measure of mineral images.…”
Section: Introductionmentioning
confidence: 99%