A method of high resolution, array-based comparative genomic hybridization is described for the mapping of copy-number changes associated with chromosomal amplifications, deletions, and translocations. The method involves the design of whole-genome or targeted, fine-tiling arrays for synthesis on a high-density digital microarray-synthesis platform. The arrays can span entire eukaryotic genomes or be targeted to specific chromosomal regions for high-resolution identification of copy-number changes and the corresponding breakpoint locations. The methods described include the bioinformatics required for array design, and the protocols for DNA fragmentation, dual-color labeling, microarray hybridization, and array scanning. The processes for data extraction, normalization, and segmentation analysis are also described.