This nice vector flourish illustration was made by mixing unique shapes, curves, flowers. The origins of flower’s design came from antiquity. Foundations of floral ornament are in attempt to express the beauty of nature. Nowadays floral ornaments are still famous.
I myself prefer to use Adobe Illustrator, but you always can use your favorite graphic programs for editing vector files, for example, Corel Draw, PMView, Xara, Macromedia Freehand, Ventua Publisher.