J. Froment. Perceptible level lines and isoperimetric ratio. In Int. Conf. on Image Processing, Vancouver, Canada, 2000.  Home/Search   Document Details and Download   Summary   Related Articles   Check

.... Delta t l ;n(t l ) S: 25) The connected components i g of level sets can be characterized by their surrounding curves f Omega i g, that is the level lines [6, 2] If we map these level lines for a given set of L levels, we get a segmentation of the image also called topographic map [6, 17]. Recently, Monasse and Guichard proposed a fast discrete algorithm to compute a topographic map using a contrast invariant tree representation of connected components [32] As made clear in [6] the topographic map is the basic structure of the image. More generally, one can consider a ....

....in [6] the topographic map is the basic structure of the image. More generally, one can consider a segmentation achieved using only some connected components of level sets, which is the philosophy of our approach. The most perceptible level lines can be determined by an isoperimetric criterion [17] or the detection of Tjunctions of level lines [6] Both criteria are strong indicators of region boundaries. Instead, we define herein perceptually significant level lines as the level sets boundaries of an adaptively quantized image by using L quantizers and an entropy method. As a consequence, ....

[Article contains additional citation context not shown here]

J. Froment. Perceptible level lines and isoperimetric ratio. In Int. Conf. on Image Processing, Vancouver, Canada, 2000.

....each label with an object Omega i . If f is bounded, the connected components of level sets can be characterized by their surrounding curves, that is the level lines [3, 1] If we map these level lines for a given set of K levels, we get a segmentation of the image also called topographic map [3, 7]. More generally, one can consider a segmentation achieved using only some connected components of level sets, which is the philosophy of our approach. The most perceptible level lines can be determined by an isoperimetric criterion [7] or the detection of T junctions of level lines [3] Both ....

....get a segmentation of the image also called topographic map [3, 7] More generally, one can consider a segmentation achieved using only some connected components of level sets, which is the philosophy of our approach. The most perceptible level lines can be determined by an isoperimetric criterion [7] or the detection of T junctions of level lines [3] Both criteria are strong indicators of region boundaries. Instead, we use herein a simpler criterion where perceptually significant level lines are the level sets boundaries of an quantized image by using K quantizers and an entropy method [11] ....

[Article contains additional citation context not shown here]

J. Froment. Perceptible level lines and isoperimetric ratio. In Int. Conf. on Image Processing, Vancouver, Canada, 2000.

....called morphological edges. 1.2. A GLOBAL CRITERION : THE ISOPERIMETRIC RATIO The compression scheme we are presenting in this article is based on morphological edges which are selected using two complementary criteria. The rst one is the isoperimetric ratio of the region a level line delimits [Froment, 2000]. It is a global criterion acting on the entire level line. When the perimeter of P is nite, the isoperimetric ratio of the region P is de ned to be the number i(P ) per 2 (P ) a(P ) 10) where a(P ) is the area of P that is, the two dimensionnal Lebesgue measure of P . The ....

Froment, J. (2000). Perceptible level lines and isoperimetric ratio. In IEEE 7th Int. Conf. on Image Proc., volume 2, pages 112-115.

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