Laser projectors are commonly used in the entertainment industry to create vector-based graphics. In order to present a stable image to observers, the laser projector moves the beam quickly using computer-controlled mirrors. The speed is high enough so that the human eye perceives it as a persistent line of light. In contrast with other vector graphic devices, laser projectors have their own inherent problems when drawing a laser image. These problems include an unexpected laser trail when the laser is switches on and off, the inertia effect for sharp corners, flickering, and the inconsistent brightness of a visible laser line. This paper presents an accurate and efficient approach for drawing graphics with a laser projector. The first section of the paper attempts to solve the unexpected laser trail problems by testing a simple pattern where this effect occurs. In the second section, we discuss a technique to compensate the error caused by the inertia effect for different rotation angles of the mirrors. We have also proposed the use of an Eulerian graph (unicursal) to reduce flickering and an efficient drawing sequence for the created Eulerian graph.