By Sorensen D.C., Wets R.J.-B. (eds.)
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Extra info for Algorithms and Theory in Filtering and Control, part 1
We compared Öktem coder with two state-of-the-art JPEG2000 coders, Lurawave and ACDSee . In our experiments, both the Peak Signal to Noise Ratio (PSNR) measure and the Structural SIMilarity (SSIM) measure  of four images were evaluated using a MSU Video Quality Measurement Tool . Compressed image quality was chosen to get approximately same size of output Table 1. 9785 Accelerating Heap-Based Priority Queue in Image Coding Application 39 ﬁle for all codecs. Our test results are depicted in Table 1.
This group operation distinguishes the case for P1 = P2 (point doubling) and P1 = P2 (point addition). , the curve equation for projective coordinates relaxes the one shown above by introducing another variable Z. The use of projective coordinates allows to avoid the costly modular inversion for a point operation at the cost of additional modular multiplications. , a k times repeated point addition of a base point P. Precisely, the ECDLP is the fundamental cryptographic problem used in protocols and crypto schemes like the Elliptic Curve Diﬃe-Hellman key exchange , the ElGamal encryption scheme  and the Elliptic Curve Digital Signature Algorithm (ECDSA) .
A heap is organized as a complete binary tree with all levels completely ﬁlled except possibly the lowest level, where each node of the tree corresponds to an element and is associated with an id and a priority value of that element. In the heap, each node has two children, a balanced heap should satisfy the heap-property: each node should have a value greater than its children (max-heap) or less than its children (min-heap). A max-heap or min-heap is built with a Max_Heapify or Min_Heapify operation.